Question

Robert is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one point each). Robert made a total of 9 shots altogether and scored a total of 23 points. Write a system of equations that could be used to determine the number of three point shots Robert made and the number of free throws he made. Define the variables that you use to write the system.

Answer 1

let t = number of three-point shots

let f = number of free throw shots

Explanation:

t + f = 9 (he made a total of 9 shots altogether)

3t + 1f = 23 (number of shots multiplied by their point value)

substitution method: t = 9 - f

3(9 - f) + f = 23

27 - 3f + f = 23

-2f = -4

f = 2

find 't': t + 2 = 9

t = 7